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As the common log of ten is one, of a hundred is two, and a thousand is three, the concept of common logarithms is very close to the decimal-positional number system. The common log is said to have base 10, but base 10,000 is ancient and still common in East Asia.
Descartes on Polyhedra: A Study of the "De solidorum elementis" is a book in the history of mathematics, concerning the work of René Descartes on polyhedra.Central to the book is the disputed priority for Euler's polyhedral formula between Leonhard Euler, who published an explicit version of the formula, and Descartes, whose De solidorum elementis includes a result from which the formula is ...
In mathematics, Descartes' rule of signs, described by René Descartes in his La Géométrie, counts the roots of a polynomial by examining sign changes in its coefficients. The number of positive real roots is at most the number of sign changes in the sequence of polynomial's coefficients (omitting zero coefficients), and the difference ...
It was written in Latin, published in 1644 and dedicated to Elisabeth of Bohemia, with whom Descartes had a long-standing friendship. A French version (Les Principes de la Philosophie) followed in 1647. The book sets forth the principles of nature—the Laws of Physics—as Descartes viewed them. Most notably, it set forth the principle that in ...
In Meditation Three, Descartes is going to establish not only that there is a God but that God is not a deceiver. When Descartes first introduces the evil demon he says, "I will suppose therefore that not God, who is supremely good and the source of truth, but rather some malicious demon, had employed his whole energies in deceiving me."
(In fact, Descartes began work on the Meditations in 1639.) [2] One of the most influential philosophical texts ever written, it is widely read to this day. [ 3 ] The book consists of the presentation of Descartes' metaphysical system at its most detailed level and in the expanding of his philosophical system, first introduced in the fourth ...
Principia philosophiae cartesianae (PPC; "The Principles of Cartesian Philosophy") or Renati Descartes principia philosophiae, more geometrico demonstrata ("The Principles of René Descartes' Philosophy, Demonstrated in Geometrical Order") is a philosophical work of Baruch Spinoza published in Amsterdam in 1663.
In the first part of his work, Descartes ponders the relationship between the thinking substance and the body. For Descartes, the only link between these two substances is the pineal gland (art. 31), the place where the soul is attached to the body. The passions that Descartes studies are in reality the actions of the body on the soul (art. 25).